{ "cells": [ { "cell_type": "code", "execution_count": 120, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import simpson\n", "from scipy.misc import derivative\n", "from math import log, exp\n", "\n", "R = 8.314\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## One Step unfolding" ] }, { "cell_type": "code", "execution_count": 121, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Predicted Tm2: \n", "222.72727272727272\n" ] }, { "data": { "image/png": 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", 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", 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = np.linspace(50, 450, 1000)\n", "Tm = 350\n", "dH0 = 200e3\n", "dcp0 = 2e3 # hydrophobic effect\n", "\n", "print(\"Predicted Tm2: \")\n", "print(Tm**2 / (Tm + 2 * dH0 / dcp0))\n", "\n", "dH0_ = dH0 + dcp0 * (T - Tm)\n", "dS0 = dH0 / Tm + dcp0 * np.log(T / Tm)\n", "dmu0 = dH0_ - T * dS0\n", "K = np.exp(- (dmu0 / (R*T)))\n", "\n", "plt.title(\"Unfolding probability\")\n", "plt.xlabel(\"T / K\")\n", "plt.plot(T, K / (1 + K))\n", "plt.show()\n", "\n", "dH = K / (1 + K) * dH0_\n", "plt.title(\"Enthalpy\")\n", "plt.xlabel(\"T / K\")\n", "plt.ylabel(\"$\\Delta H$ [kJ / mol]\")\n", "plt.plot(T, dH0_ / 1000, label='$\\Delta H = \\Delta H_0 + \\Delta c_p (T - T_m)$')\n", "plt.plot(T, dH / 1000, label='$\\Delta H_{eff} = K / (1 + K) \\Delta H$')\n", "plt.legend()\n", "plt.show()\n", "\n", "\n", "dcp = np.gradient(dH, T)\n", "plt.title(\"Heat capacity\")\n", "plt.xlabel(\"T / K\")\n", "plt.ylabel(\"$\\Delta c_p$ [kJ / mol K]\")\n", "plt.plot(T, dcp / 1000)\n", "plt.show()\n", "\n", "dS = np.zeros_like(dcp)\n", "for i in range(0, T.size):\n", " dS[i] = simpson((dcp / T)[:i+1], T[:i+1]) + dS0[0]\n", "dmu = dH - T * dS\n", "\n", "plt.title(\"Entropy\")\n", "plt.xlabel(\"T / K\")\n", "plt.ylabel(\"$\\Delta S$ [kJ / mol K]\")\n", "plt.plot(T, dS0 / 1000,\n", " label='$\\Delta S_0 = \\Delta H_0 / T_m + \\Delta c_{p0} \\\\log(T / T_m)$')\n", "plt.plot(T, dS / 1000, label='$\\Delta S = \\int c_p / T dT $')\n", "plt.plot(T, (dH / Tm) / 1000,\n", " label='$\\Delta H_{eff} / T_m$', linestyle='dashed')\n", "plt.legend()\n", "plt.show()\n", "\n", "plt.title(\"Chemical potential\")\n", "plt.xlabel(\"T / K\")\n", "plt.ylabel(\"$\\mu$ [kJ/mol]\")\n", "plt.plot(T, dmu0 / 1000, label='$\\Delta H_{eff} - T \\Delta S_0$')\n", "plt.plot(T, dmu / 1000, label='$\\Delta H_{eff} - T \\Delta S$')\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Helix coil transition with infinite cooperativity" ] }, { "cell_type": "code", "execution_count": 122, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = np.linspace(50, 450, 1000)\n", "n = np.array([10, 20, 50, 100]) # chain length\n", "Tm = 250\n", "dH0 = 4.5e3 # per amino acid\n", "\n", "plt.title(\"Unfolding probability\")\n", "plt.xlabel(\"T / K\")\n", "\n", "for i in n:\n", " dS0 = (i-4) / (i-2) * dH0 / Tm\n", " dmu0 = dH0 - T * dS0\n", " K = np.exp(- (dmu0 / (R*T)))\n", " plt.plot(T, K / (1 + K), label=f\"n={i}\")\n", "\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Helix coil transition: Zipper model" ] }, { "cell_type": "code", "execution_count": 123, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_607/2856109479.py:18: RuntimeWarning: overflow encountered in multiply\n", " nom += i * (m-i+1) * sigma * K**i\n", "/tmp/ipykernel_607/2856109479.py:17: RuntimeWarning: overflow encountered in power\n", " Q += (m-i+1) * sigma * K**i\n", "/tmp/ipykernel_607/2856109479.py:18: RuntimeWarning: overflow encountered in power\n", " nom += i * (m-i+1) * sigma * K**i\n", "/tmp/ipykernel_607/2856109479.py:20: RuntimeWarning: invalid value encountered in divide\n", " plt.plot(T, 1/m * nom / Q, label=f\"n={m}\")\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = np.linspace(50, 450, 1000)\n", "n = np.array([10, 20, 50, 100])\n", "dS0 = -20 # per amino acid\n", "dH0 = -4.5e3 # per amino acid\n", "sigma = 10e-3 # assumed to be temperature independent\n", "#sigma = np.exp((4* dH0 - 2*T*dS0) / (R*T))\n", "\n", "K = np.exp(- (dH0 - T * dS0) / (R*T))\n", "\n", "plt.title(\"Expected fraction of helical segments\")\n", "plt.xlabel(\"T / K\")\n", "\n", "for m in n:\n", " Q = 1\n", " nom = 0\n", " for i in range(1, m):\n", " Q += (m-i+1) * sigma * K**i\n", " nom += i * (m-i+1) * sigma * K**i\n", "\n", " plt.plot(T, 1/m * nom / Q, label=f\"n={m}\")\n", "\n", "\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Helix coil transition: Zimm-Bragg-Model" ] }, { "cell_type": "code", "execution_count": 124, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = np.linspace(100, 400, 1000)\n", "n = np.array([10, 20, 50, 100])\n", "dS0 = -20 # per amino acid\n", "dH0 = -4.5e3 # per amino acid\n", "sigma = 10e-3 # assumed to be temperature independent\n", "\n", "\n", "plt.title(\"Expected fraction of helical segments\")\n", "plt.xlabel(\"T / K\")\n", "\n", "for m in n:\n", " K = np.array([])\n", " Q = np.array([])\n", "\n", " for t in T:\n", " k = np.exp(- (dH0 - t * dS0) / (R*t))\n", "\n", " q = np.array([1, 1])\n", " for i in range(0, m):\n", " q = np.matmul(np.array([[1, sigma * k], [1, k]]), q)\n", " q = np.matmul(np.array([1, 0]), q)\n", "\n", " K = np.append(K, k)\n", " Q = np.append(Q, q)\n", "\n", " plt.plot(T, np.gradient(np.log(Q), np.log(K)) / m, label=f\"n={m}\")\n", "\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 125, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_607/1872439412.py:18: DeprecationWarning: scipy.misc.derivative is deprecated in SciPy v1.10.0; and will be completely removed in SciPy v1.12.0. You may consider using findiff: https://github.com/maroba/findiff or numdifftools: https://github.com/pbrod/numdifftools\n", " dlogQ_dlogsigma = np.append(dlogQ_dlogsigma, derivative(logQ_by_logsigma, log(sigma)))\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title(\"Expected number of helices\")\n", "plt.xlabel(\"T / K\")\n", "\n", "for m in n:\n", " dlogQ_dlogsigma = np.array([])\n", "\n", " for t in T:\n", " k = np.exp(- (dH0 - t * dS0) / (R*t))\n", "\n", " def logQ_by_logsigma(logsigma):\n", " sigma = exp(logsigma)\n", " q = np.array([1, 1])\n", " for i in range(0, m):\n", " q = np.matmul(np.array([[1, sigma * k], [1, k]]), q)\n", " q = np.matmul(np.array([1, 0]), q)\n", " return log(q)\n", "\n", " dlogQ_dlogsigma = np.append(dlogQ_dlogsigma, derivative(logQ_by_logsigma, log(sigma)))\n", "\n", " plt.plot(T, dlogQ_dlogsigma, label=f\"n={m}\")\n", "\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }